GCD of 152, 228, 24, 969 Calculator

Given Input numbers are 152, 228, 24, 969

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 152, 228, 24, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 228, 24, 969 is 1.

Therefore, GCD of numbers 152, 228, 24, 969 is 1

Given Input Data is 152, 228, 24, 969

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 969 is 3 x 17 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(152, 228) = 456

GCD(152, 228) = ( 152 x 228 ) / 456

GCD(152, 228) = 34656 / 456

GCD(152, 228) = 76

Step2:

Here we consider the GCD from the above i.e. 76 as first number and the next as 24

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(76, 24) = 456

GCD(76, 24) = ( 76 x 24 ) / 456

GCD(76, 24) = 1824 / 456

GCD(76, 24) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 969

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 969) = 3876

GCD(4, 969) = ( 4 x 969 ) / 3876

GCD(4, 969) = 3876 / 3876

GCD(4, 969) = 1

GCD of 152, 228, 24, 969 is 1

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1. What is the GCD of 152, 228, 24, 969?

GCD of 152, 228, 24, 969 is 1

2. Where do I get the detailed procedure to find GCD of 152, 228, 24, 969?

You can find a detailed procedure to find GCD of 152, 228, 24, 969 on our page.

3. How to find GCD of 152, 228, 24, 969 on a calculator?

You can find the GCD of 152, 228, 24, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.